A two digit number is obtained by either multiplying the sum of the digits by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding to find the numbers how many such numbers are there
f(x) denotes the sum of the digits of the number x and g(x) denotes the product of the digits of the number x. How many three digit numbers are there for which f(x)=g(x), where x is a three digit number.